TSTP Solution File: NUN088+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUN088+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:08:10 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   19 (   5 unt;   0 def)
%            Number of atoms       :   59 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   69 (  29   ~;  18   |;  19   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   35 (  22   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f171,plain,
    $false,
    inference(resolution,[],[f166,f102]) ).

fof(f102,plain,
    r1(sK7),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ( r1(sK7)
    & id(sK7,sK6)
    & r2(sK8,sK6)
    & r1(sK8) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f52,f55,f54,f53]) ).

fof(f53,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( r1(X1)
            & id(X1,X0) )
        & ? [X2] :
            ( r2(X2,X0)
            & r1(X2) ) )
   => ( ? [X1] :
          ( r1(X1)
          & id(X1,sK6) )
      & ? [X2] :
          ( r2(X2,sK6)
          & r1(X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f54,plain,
    ( ? [X1] :
        ( r1(X1)
        & id(X1,sK6) )
   => ( r1(sK7)
      & id(sK7,sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f55,plain,
    ( ? [X2] :
        ( r2(X2,sK6)
        & r1(X2) )
   => ( r2(sK8,sK6)
      & r1(sK8) ) ),
    introduced(choice_axiom,[]) ).

fof(f52,plain,
    ? [X0] :
      ( ? [X1] :
          ( r1(X1)
          & id(X1,X0) )
      & ? [X2] :
          ( r2(X2,X0)
          & r1(X2) ) ),
    inference(rectify,[],[f39]) ).

fof(f39,plain,
    ? [X0] :
      ( ? [X2] :
          ( r1(X2)
          & id(X2,X0) )
      & ? [X1] :
          ( r2(X1,X0)
          & r1(X1) ) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ~ ! [X0] :
        ( ! [X1] :
            ( ~ r2(X1,X0)
            | ~ r1(X1) )
        | ! [X2] :
            ( ~ r1(X2)
            | ~ id(X2,X0) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ ! [X62] :
        ( ! [X46] :
            ( ~ r1(X46)
            | ~ r2(X46,X62) )
        | ! [X45] :
            ( ~ id(X45,X62)
            | ~ r1(X45) ) ),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    ! [X62] :
      ( ! [X46] :
          ( ~ r1(X46)
          | ~ r2(X46,X62) )
      | ! [X45] :
          ( ~ id(X45,X62)
          | ~ r1(X45) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',zerounidone) ).

fof(f166,plain,
    ~ r1(sK7),
    inference(resolution,[],[f147,f101]) ).

fof(f101,plain,
    id(sK7,sK6),
    inference(cnf_transformation,[],[f56]) ).

fof(f147,plain,
    ! [X0] :
      ( ~ id(X0,sK6)
      | ~ r1(X0) ),
    inference(resolution,[],[f86,f100]) ).

fof(f100,plain,
    r2(sK8,sK6),
    inference(cnf_transformation,[],[f56]) ).

fof(f86,plain,
    ! [X2,X0,X1] :
      ( ~ r2(X1,X0)
      | ~ id(X2,X0)
      | ~ r1(X2) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ id(X2,X0)
          | ~ r1(X2) )
      | ~ r2(X1,X0) ),
    inference(rectify,[],[f32]) ).

fof(f32,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( ~ id(X2,X1)
          | ~ r1(X2) )
      | ~ r2(X0,X1) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X64,X65] :
      ( ~ r2(X64,X65)
      | ! [X66] :
          ( ~ r1(X66)
          | ~ id(X66,X65) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7a) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : NUN088+1 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 10:06:46 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.48  % (14654)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.49  % (14670)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.49  % (14656)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49  % (14656)First to succeed.
% 0.19/0.49  % (14662)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.50  % (14675)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.50  % (14648)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50  % (14654)Also succeeded, but the first one will report.
% 0.19/0.50  % (14656)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Theorem for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (14656)------------------------------
% 0.19/0.50  % (14656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (14656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (14656)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (14656)Memory used [KB]: 1023
% 0.19/0.50  % (14656)Time elapsed: 0.093 s
% 0.19/0.50  % (14656)Instructions burned: 3 (million)
% 0.19/0.50  % (14656)------------------------------
% 0.19/0.50  % (14656)------------------------------
% 0.19/0.50  % (14646)Success in time 0.157 s
%------------------------------------------------------------------------------